A student of operations research is preparing for the end-term examination. The hostel where he stays is infected by mosquitoes, which are a constant source of distraction for him. While studying the chapter on queuing theory, he realizes that the knowledge of queuing can help him in identifying how many hours he has actually studied. He estimates that the rate at which the mosquitoes invade his room follows a Poisson distribution with an arrival rate of two mosquitoes per minute. He is able to squash the mosquitoes at a rate of ten mosquitoes per minute. Determine the following: a) The time that he spend in studies, if he studies for four hours at a stretch, without being distracted by the mosquitoes. b) The average number of mosquitoes in the system waiting to enter the room and those getting squashed. c) The probability that there are exactly two mosquitoes in the system. d) The probability that a mosquito entering the room will not get squashed for 0.5 minute.

A student of operations research is preparing for the end-term examination. The hostel where he stays is infected by mosquitoes, which are a constant source of distraction for him. While studying the chapter on queuing theory, he realizes that the knowledge of queuing can help him in identifying how many hours he has actually studied. He estimates that the rate at which the mosquitoes invade his room follows a Poisson distribution with an arrival rate of two mosquitoes per minute. He is able to squash the mosquitoes at a rate of ten mosquitoes per minute. Determine the following: a) The time that he spend in studies, if he studies for four hours at a stretch, without being distracted by the mosquitoes. b) The average number of mosquitoes in the system waiting to enter the room and those getting squashed. c) The probability that there are exactly two mosquitoes in the system. d) The probability that a mosquito entering the room will not get squashed for 0.5 minute.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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